A New Model of the Fractional Order Dynamics of the Planetary Gears

Figure 2

First rotational-axial modes of the planetary gear system defined in Table 1. Translational (a) and angular (b) displacements-eigen amplitudes for 𝜔₁=215,546 Hz.

(a) The initial configuration of planetary gear

(b) First mode of the planetary gear

(c)

(d)